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Finding the Fourth Proportional to 164,899.25, 247,336.44 and 52,574.93

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Solution

The fourth proportional to 164,899.25, 247,336.44 and 52,574.93 is: 78,858.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,899.25 : 247,336.44 = 52,574.93 : x
  2. Step 2: Convert to fraction form
    164,899.25/247,336.44 = 52,574.93/x
  3. Step 3: Cross multiply
    164,899.25x = 247,336.44 × 52,574.93
  4. Step 4: Simplify right side
    164,899.25x = 13,003,696,019.45
  5. Step 5: Solve for x
    x = 13,003,696,019.45/164,899.25
  6. Step 6: Final answer
    x = 78,858.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.